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Finding the Fourth Proportional to 6,168.15, 9,247.67 and 3,202.34

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Solution

The fourth proportional to 6,168.15, 9,247.67 and 3,202.34 is: 4,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.15 : 9,247.67 = 3,202.34 : x
  2. Step 2: Convert to fraction form
    6,168.15/9,247.67 = 3,202.34/x
  3. Step 3: Cross multiply
    6,168.15x = 9,247.67 × 3,202.34
  4. Step 4: Simplify right side
    6,168.15x = 29,614,121.30
  5. Step 5: Solve for x
    x = 29,614,121.30/6,168.15
  6. Step 6: Final answer
    x = 4,801.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.